
two-arm - constructs an exact likelihood from our main method of Equation REF  under a two-arm convenience and reference sample set-up.

one-arm - constructs an exact-likelihood under our main method of Equation REF  under a one-arm convenience sample set-up that replaces the reference sample of the two-arm method with the finite population as discussed at the end of Section .

LCW - The pseudo likelihood method of [1]}.

WVL - The pseudo likelihood method of [2]}.

